Explicit congruences for \(k\)-marked Durfee symbols

DOI10.1016/j.disc.2024.113939OpenAlexW4392214395MaRDI QIDQ6204350

Olivia X. M. Yao

Publication date: 27 March 2024

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2024.113939

zbMATH Keywords

partitionscongruencescrank momentsrank momentsmarked Durfee symbols

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Cites Work

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• Higher order spt-functions
• On the explicit construction of higher deformations of partition statistics
• Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
• Distribution of the full rank in residue classes for odd moduli
• Relations between the ranks and cranks of partitions
• On ranks and cranks of partitions modulo 4 and 8
• Mappings and symmetries of partitions
• Identities, inequalities and congruences for odd ranks and \(k\)-marked odd Durfee symbols
• Moments of ranks and cranks, and quotients of Eisenstein series and the Dedekind eta function
• Arithmetic properties of odd ranks and \(k\)-marked odd Durfee symbols
• The Crank of Partitions Mod 8, 9 and 10
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• On the Rank and the Crank Modulo 4 and 8
• Partition Statistics and Quasiharmonic Maass Forms
• Some Properties of Partitions

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